An engine drag-torque control, particularly for motor vehicles, in which the engine torque is increased by an EDC augmenting torque when the driven wheels drop below a slip threshold due to the braking action of the engine and exhibit a brake slip which is too high. To improve the vehicle control during cornering on a roadway having a low coefficient of friction, it is provided to increase the slip threshold for the driven wheels to thereby set the drag-torque control to be more sensitive.